6(r-1)=2(r+18)

Solution for 6(r-1)=2(r+18) equation:

Simplifying
6(r + -1) = 2(r + 18)

Reorder the terms:
6(-1 + r) = 2(r + 18)
(-1 * 6 + r * 6) = 2(r + 18)
(-6 + 6r) = 2(r + 18)

Reorder the terms:
-6 + 6r = 2(18 + r)
-6 + 6r = (18 * 2 + r * 2)
-6 + 6r = (36 + 2r)

Solving
-6 + 6r = 36 + 2r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-2r' to each side of the equation.
-6 + 6r + -2r = 36 + 2r + -2r

Combine like terms: 6r + -2r = 4r
-6 + 4r = 36 + 2r + -2r

Combine like terms: 2r + -2r = 0
-6 + 4r = 36 + 0
-6 + 4r = 36

Add '6' to each side of the equation.
-6 + 6 + 4r = 36 + 6

Combine like terms: -6 + 6 = 0
0 + 4r = 36 + 6
4r = 36 + 6

Combine like terms: 36 + 6 = 42
4r = 42

Divide each side by '4'.
r = 10.5

Simplifying
r = 10.5